Find the values of x for which the gradient of the tangent to the graph of y=f(x) is equal to the gradient of the line segment joining the points on the graph where x = 1 and x = 5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the values of x for which the gradient of the tangent to the graph of y=f(x) is equal
to the gradient of the line segment joining the points on the graph where x = 1 and x = 5.
Transcribed Image Text:Find the values of x for which the gradient of the tangent to the graph of y=f(x) is equal to the gradient of the line segment joining the points on the graph where x = 1 and x = 5.
Let f: R→R, where f(x)=(x-2)² (x-5).
Transcribed Image Text:Let f: R→R, where f(x)=(x-2)² (x-5).
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